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## Chapter 8 Review Laws of Exponents

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**LAW #1 Product law:**Ex: NOTE: add the exponents together when multiplying the powers with the same base. This operation can only be done if the base is the same! SIMPLIFY THESE ON YOUR OWN:**LAW #2 Power of a power:**Ex: NOTE: keep the base and multiply the exponents. Multiply the exponents, not add them! SIMPLIFY THESE ON YOUR OWN:**LAW #3 Power of a product:**Ex: NOTE: Distribute the power to each number or variable in the parentheses. Multiply the exponents, not add them! SIMPLIFY THESE ON YOUR OWN:**LAW #4 Zero exponent law:**Ex: Any power raised to an exponent of zero equals one. SIMPLIFY THESE ON YOUR OWN:**LAW #5 Negative exponents:**NOTE: Ex: This does not change the sign of the base. To make an exponent positive, flip the base. SIMPLIFY THESE ON YOUR OWN:**LAW #6 Quotient Property**NOTE: Ex: This operation can only be done if the base is the same! Subtract “TOP EXPONENT MINUS THE BOTTOM EXPONENT” SIMPLIFY THESE ON YOUR OWN:**LAW #7 Quotient Property**Ex: Distribute the power to the top and bottom of the quotient. SIMPLIFY THESE ON YOUR OWN:**More examples on your own:**Ex 1: Ex 6: Ex 2: Ex 7: Ex 3: Ex 4: Ex 8: Ex 5:**More examples on your own:**Ex 9: Ex 14: Ex 10: Ex 15: Ex 11: Ex 12: Ex 16: Ex 13:**More examples on your own:**Ex 17: Ex 22: Ex 18: Ex 23: Ex 19: Ex 20: Ex 24: Ex 21:**More examples on your own:**Ex 25: Ex 30: Ex 26: Ex 31: Ex 27: Ex 28: Ex 32: Ex 29:**Express each number in scientific notation:**1.) 6,300 2.) 4,600,000 3.) 0.00013 4.) 0.000009 6.3 x 103 4.6 x 106 9 x 10-6 1.3 x 10-4**Express each number in decimal form:**1.) 4.5 x 106 2.) 3 x 10-4 3.) 2.36 x 100 4.) 9.1 x 10-1 4,500,000 0.0003 2.36 0.91**Perform the indicated operation. Leave your answer in**scientific notation. 1.) 2.) 3.) 4.)